Which of the following is the logarithmic form of 4^-3 = 1/64?

Solve the following logarithmic equation for x:

log_1/5 (x + 98) = -3

Verify if the given equation is true. Make the necessary changes to support the conclusion and amend the equation to make it true if the statement given is false.
n²(log₂ 2ⁿ) = n³

Categorize the wetland area as a rich fen, a poor fen, or a bog using the provided hydronium concentration.

3.89 × 10 ^-7 mol/L

Solve the following logarithmic equation and, where necessary, reject any x-value that makes the original function undefined. Use a calculator to approximate your solution to three decimal places.

log₅(x + 5) + log₅(x + 1) = 2

Solve the following exponential equation by first converting the terms into the same bases.

2e^{2x + 3} = 2/e

Solve the logarithmic equation for x and provide an exact solution:

ln (5x - 3) - ln 12 = - ln(x - 4)